Explorando o universo dos números primos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Métodos numéricos para equações diferencias ordinárias

Pós-graduação em Matemática Universitária - IGCE

Um estudo da geometria projetiva elíptica

Pós-graduação em Matemática Universitária - IGCE

Complex modal analysis of a vertical rotor through finite element method

Natural frequencies were analyzed (axial, torsional and flexural) and frequency response of a vertical rotor with a hard disk at the edge through the classical and complex modal analysis. The mathematical modeling was based on the theory of Euler-Bernoulli beam. The equation that rules the movement was obtained through the Lagrangian formulation. The model considered the effects of bending, torsion and axial deformation of the shaft, besides the gravitational and gyroscopic effects. The finite element method was used to discretize the structure into hollow cylindrical elements with 12 degrees of freedom. Mass, stiffness and gyroscopic matrices were explained consistently. This type of tool, based on the use of complex coordinates to describe the dynamic behavior of rotating shaft, allows the decomposition of the system in two submodes, backward and forward. Thus, it is possible to clearly visualize that the orbit and direction of the precessional motion around the line of the rotating shaft is not deformed. A finite element program was developed using Matlab ®, and numerical simulations were performed to validate this model.

Movimentos regulares e caóticos de rotação de corpos rígidos

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Aritmética por apps

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Aproximação para Problema de Controle Ótimo Impulsivo e Problema de Tempo Mínimo sobre Domínios Estratificados

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Iniciação ao estudo da dinâmica de rotação de um satélite em variáves de Andoyer

The dynamics of the rotation of a satellite is an old and classical problem, specially in the Euler formalism. However, with these variables, even in torque free motion problem, the integrability of the system is far from trivial, mainly when the three moments of the inertia are not equal. Another disadvantage occurs when the inclinations between some plans are null or close to zero, so the nodes become undetermined. In this work, we propose the use of modern Andoyer's variables. These are a set of canonical variables and therefore some significant advantages can be obtained when dealing with perturbation methods. On other the hand, the integrability of the torque free motion becomes very clear, as the system is reduced to a problem of one degree of freedom. The elimination of the singularities mentioned above, can be solved very easily, with Pincaré-type variables. In this work we give the background concepts of the Andoyer's variables and the disturbing potential is obtained for the rotational dynamics of a satellite perturbed by a planet. In the case when A = B (moments of inertia) and due to the current variables, the averaged system is trivially obtained through very simple integrations

Construção exata de sólitons de Hopf

Pós-graduação em Física - IFT

The Specific Status of the Narrow-Skulled Vole (Subgenus Stenocranius Kashchenko) in North America

On morphological and zoogeographical grounds, discussed in the present paper, it is concluded that the narrow-skulled vole in North America, previously designated Microtus (Stenocranius) miurus Osgood, is conspecific with the Eurasian M. (Stenocranius) gregalis Pallas. Fourteen subspecies in Eurasia and 5 in North America are now recognized, but it is probable that the number in Eurasia will be reduced through future investigation. The Eurasian subspecies of this vole comprise two major groups, of which one occupies the tundra zone and the other occurs across central Asia below latitude 60° N; their geographic ranges are largely separate but evidently become confluent in northeastern Siberia. The members of the northern group of Eurasian subspecies and the North American forms are closely related; the present distribution of the latter indicates post-glacial dispersal from the Amphiberingian Refugium. It is believed that the tundra-inhabiting voles in Eurasia likewise survived the Pleistocene glaciations in northern refugia, while the members of the southern group of subspecies probably represent populations that survived south of the limits of the continental glaciers. The ranges of the two Eurasian groups probably have become confluent during post-glacial time in northeastern Siberia as a result of the southward spread of the northern forms. At least, the subspecies having the intervening range closely resembles members of the northern group. Some of the ecological and ethological characteristics of these voles are briefly discussed. The chromosome number of one of the North American subspecies of narrow-skulled vole was determined to be 54; this is the first time that the chromosomes of a member of the subgenus Stenocranius have been investigated. A karyogram has been included. German abstract: Auf morphologischen und tiergeographischen Grundlagen, die in dieser Arbeit besprochen wurden, ist festgestellt worden, daß die schmalschädlige Wiihlmaus in Nordamerika, friiher Microtus (Stenocranius) miurus Osgood bezeichnet, mit der palaearktischen Art M. (Stenocranius) gregalis Pallas identisch ist. Zur Zeit gelten 14 Unterarten in Eurasien und 5 in Nordamerika als unterscheidbar; vermutlich aber wird die Zahl der palaearktischen Unterarten durch eingehendere Untersuchungen künftig vermindert werden. Auf Grund ihrer Verbreitung bilden die palaearktischen Unterarten zwei beinahe vollständig getrennte Gruppen. Die Wühlmäuse der nördlichen Gruppe bewohnen die Tundrazone, während die Vertreter der zweiten Gruppe über Mittelasien südlicher als 60° N.B. verbreitet sind. Die Verbreitungsgebiete der zwei Gruppen verbinden sich anscheinend. Die nordamerikanischen schmalschädligen Wühlmäuse sind mit den in der Tundrazone vorkommenden palaearktischen Formen nahe verwandt; sie haben sich wahrscheinlich während der Postglazialzeit aus dem Amphiberingschen Refugium verbreitet. Möglicherweise überlebten die tundrabewohnenden Wühlmäuse Eurasiens die Eiszeit ebenfalls in vereinzelten Refugien in Nordostsibirien, während die Formen der südlichen Gruppe sie jenseits der Grenzen des Festlandsgletschers überlebten. Wahrscheinlich wurden die zwei Verbreitungsgebiete dieser Art in Eurasien erst während der Postglazialzeit durch das Vordringen der nordischen Formen verbunden, da eine nähere Verwandtschaft zwischen den nördlichen und der dazwischenliegenden Unterart besteht. Einige ökologische und ethologische Eigentümlichkeiten dieser Wühlmäuse werden kurz besprochen. Es wurde festgestellt, daß eine der nordamerikanischen Unterarten der schmalschädligen Wühlmaus 54 Chromosomen hat; sie ist der einzige Vertreter der Untergattung Stenocranius, dessen Chromosomen untersucht worden sind.

Dirac fermions in strong electric field and quantum transport in graphene

Our previous results on the nonperturbative calculations of the mean current and of the energy-momentum tensor in QED with the T-constant electric field are generalized to arbitrary dimensions. The renormalized mean values are found, and the vacuum polarization contributions and particle creation contributions to these mean values are isolated in the large T limit; we also relate the vacuum polarization contributions to the one-loop effective Euler-Heisenberg Lagrangian. Peculiarities in odd dimensions are considered in detail. We adapt general results obtained in 2 + 1 dimensions to the conditions which are realized in the Dirac model for graphene. We study the quantum electronic and energy transport in the graphene at low carrier density and low temperatures when quantum interference effects are important. Our description of the quantum transport in the graphene is based on the so-called generalized Furry picture in QED where the strong external field is taken into account nonperturbatively; this approach is not restricted to a semiclassical approximation for carriers and does not use any statistical assumptions inherent in the Boltzmann transport theory. In addition, we consider the evolution of the mean electromagnetic field in the graphene, taking into account the backreaction of the matter field to the applied external field. We find solutions of the corresponding Dirac-Maxwell set of equations and with their help we calculate the effective mean electromagnetic field and effective mean values of the current and the energy-momentum tensor. The nonlinear and linear I-V characteristics experimentally observed in both low-and high-mobility graphene samples are quite well explained in the framework of the proposed approach, their peculiarities being essentially due to the carrier creation from the vacuum by the applied electric field. DOI: 10.1103/PhysRevD.86.125022

On the Milnor fibre and L numbers of semi-weighted homogeneous arrangements

Inthispaperwestudygermsofpolynomialsformedbytheproductofsemi-weighted homogeneous polynomials of the same type, which we call semi-weighted homogeneous arrangements. It is shown how the L numbers of such polynomials are computed using only their weights and degree of homogeneity. A key point of the main theorem is to find the number called polar ratio of this polynomial class. An important consequence is the description of the Euler characteristic of the Milnor fibre of such arrangements only depending on their weights and degree of homogeneity. The constancy of the L numbers in families formed by such arrangements is shown, with the deformed terms having weighted degree greater than the weighted degree of the initial germ. Moreover, using the results of Massey applied to families of function germs, we obtain the constancy of the homology of the Milnor fibre in this family of semi-weighted homogeneous arrangements.

Insights into the morphology of the Serra da Cangalha impact structure from geophysical modeling

Forward modeling is commonly applied to gravity field data of impact structures to determine the main gravity anomaly sources. In this context, we have developed 2.5-D gravity models of the Serra da Cangalha impact structure for the purpose of investigating geological bodies/structures underneath the crater. Interpretation of the models was supported by ground magnetic data acquired along profiles, as well as by high resolution aeromagnetic data. Ground magnetic data reveal the presence of short-wavelength anomalies probably related to shallow magnetic sources that could have been emplaced during the cratering process. Aeromagnetic data show that the basement underneath the crater occurs at an average depth of about 1.9 km, whereas in the region beneath the central uplift it is raised to 0.51 km below the current surface. These depths are also supported by 2.5-D gravity models showing a gentle relief for the basement beneath the central uplift area. Geophysical data were used to provide further constraints for numeral modeling of crater formation that provided important information on the structural modification that affected the rocks underneath the crater, as well as on shock-induced modifications of target rocks. The results showed that the morphology is consistent with the current observations of the crater and that Serra da Cangalha was formed by a meteorite of approximately 1.4 km diameter striking at 12 km s-1.

Haemodynamic effects of aliskiren in decompensated severe heart failure

Aim: The renin-angiotensin-aldosterone system (RAAS) has dual pathways to angiotensin II production; therefore, multiple blockages may be useful in heart failure. In this study, we evaluated the short-term haemodynamic effects of aliskiren, a direct renin inhibitor, in patients with decompensated severe heart failure who were also taking angiotensin-converting enzyme ( ACE) inhibitors. Materials and methods: A total of 16 patients (14 men, two women, mean age: 60.3 years) were enrolled in the study. The inclusion criteria included hospitalisation due to decompensated heart failure, ACE inhibitor use, and an ejection fraction < 40% (mean: 21.9 +/- 6.7%). The exclusion criteria were: creatinine > 2.0 mg/dl, cardiac pacemaker, serum K+ > 5.5 mEq/l, and systolic blood pressure < 70 mmHg. Patients either received 150 mg/d aliskiren for 7 days (aliskiren group, n = 10) or did not receive aliskiren (control group, n = 6). Primary end points were systemic vascular resistance and cardiac index values. Repeated-measures analysis of variance (ANOVA) was used to assess variables before and after intervention. A two-sided p-value < 0.05 was considered statistically significant. Results: Compared to pre-intervention levels, systemic vascular resistance was reduced by 20.4% in aliskiren patients, but it increased by 2.9% in control patients (p = 0.038). The cardiac index was not significantly increased by 19.0% in aliskiren patients, but decreased by 8.4% in control patients (p = 0.127). No differences in the pulmonary capillary or systolic blood pressure values were observed between the groups. Conclusion: Aliskiren use reduced systemic vascular resistance in patients with decompensated heart failure taking ACE inhibitors.

Transiting exoplanets from the CoRoT space mission XXI. CoRoT-19b: a low density planet orbiting an old inactive F9V-star

Context. Observations of transiting extrasolar planets are of key importance to our understanding of planets because their mass, radius, and mass density can be determined. These measurements indicate that planets of similar mass can have very different radii. For low-density planets, it is generally assumed that they are inflated owing to their proximity to the host-star. To determine the causes of this inflation, it is necessary to obtain a statistically significant sample of planets with precisely measured masses and radii. Aims. The CoRoT space mission allows us to achieve a very high photometric accuracy. By combining CoRoT data with high-precision radial velocity measurements, we derive precise planetary radii and masses. We report the discovery of CoRoT-19b, a gas-giant planet transiting an old, inactive F9V-type star with a period of four days. Methods. After excluding alternative physical configurations mimicking a planetary transit signal, we determine the radius and mass of the planet by combining CoRoT photometry with high-resolution spectroscopy obtained with the echelle spectrographs SOPHIE, HARPS, FIES, and SANDIFORD. To improve the precision of its ephemeris and the epoch, we observed additional transits with the TRAPPIST and Euler telescopes. Using HARPS spectra obtained during the transit, we then determine the projected angle between the spin of the star and the orbit of the planet. Results. We find that the host star of CoRoT-19b is an inactive F9V-type star close to the end of its main-sequence life. The host star has a mass M-* = 1.21 +/- 0.05 M-circle dot and radius R-* = 1.65 +/- 0.04 R-circle dot. The planet has a mass of M-P = 1.11 +/- 0.06 M-Jup and radius of R-P = 1.29 +/- 0.03 R-Jup. The resulting bulk density is only rho = 0.71 +/- 0.06 g cm (3), which is much lower than that for Jupiter. Conclusions. The exoplanet CoRoT-19b is an example of a giant planet of almost the same mass as Jupiter but a approximate to 30% larger radius.